| Project/Area Number |
22540282
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Particle/Nuclear/Cosmic ray/Astro physics
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| Research Institution | Kobe University |
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Principal Investigator |
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| Co-Investigator(Renkei-kenkyūsha) |
ITOH Katsumi 新潟大学, 教育学部, 教授 (50242392)
IGARASHI Yuji 新潟大学, 教育学部, 名誉教授 (50151262)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥1,950,000 (Direct Cost: ¥1,500,000、Indirect Cost: ¥450,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
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| Keywords | 繰り込み群 / 厳密繰り込み群 / アノマリー / 非繰り込み定理 / QED / axial anomaly / 臨界現象 / 臨界指数 / 普遍性 / 相転移 / 不動点 / ゲージ理論 |
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| Research Abstract |
In this project we have aimed at a sound derivation of various non-renormalization theorems using the formulation of field theory in terms of the exact renormalization group. We have reformulated the axial anomaly in QED as an equation among gauge invariant composite operators which are also independent of the gauge fixing parameter. As a consequence we have established the absence ofradiative corrections to the axial anomaly equation. Our proof generalizes the proofgiven by A. Zee in the early 70's.
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